9919248223248 has 1120 divisors, whose sum is σ = 36376172942592. Its totient is φ = 2549657088000.

The previous prime is 9919248223211. The next prime is 9919248223253. The reversal of 9919248223248 is 8423228429199.

9919248223248 is a `hidden beast` number, since 9 + 9 + 1 + 92 + 482 + 23 + 2 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 7182655518 + ... + 7182656898.

Almost surely, 2^{9919248223248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9919248223248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18188086471296).

9919248223248 is an abundant number, since it is smaller than the sum of its proper divisors (26456924719344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9919248223248 is a wasteful number, since it uses less digits than its factorization.

9919248223248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1574 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

It can be divided in two parts, 991924822 and 3248, that added together give a triangular number (991928070 = T₄₄₅₄₀).

The spelling of 9919248223248 in words is "nine trillion, nine hundred nineteen billion, two hundred forty-eight million, two hundred twenty-three thousand, two hundred forty-eight".